Question

darcie wants to crochet a minimum of 3 blankets for a homeless shelter. darcie crochets at a rate of 1/15 blankets a day. she has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways.

write an inequality to determine the number of days, s, darcie can skip crocheting and still meet her goal

Answer 1

Given :

Minimum number of blankets to crochet = 3

The rate of crochet = $\dfrac{1}{15}$ a day

Total number of days to donate the blanket = 60

To Find :

The number of days to skip and meet goal

Solution :

According to question

Let number of days to skip and meet goal = n days

∵  $\dfrac{1}{15}$   carpet can be crochet in 1 day

So, To crochet 1 carpet , number of days = $\dfrac{1}{\dfrac{1}{15} }$ = 15 days

∴ , To crochet 3 carpet , number of days = 15 × 3 = 45 days

Now,

Number of skip days = 60 days - 45 days

                                   = 15 days

Again

In equality

    n $\leq$ 60 - ( $\dfrac{3}{\dfrac{1}{15} }$ )

i.e  n $\leq$ 60 - 45

∴   n $\leq$ 15

Hence, The number of skip days to meet goal is 15 and inequality terms is  n $\leq$ 15     Answer